Answer:
x=
2
3
=1.500
Step-by-step explanation:
(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4) = 0
STEP
2
:
Equation at the end of step 2
((7 • (x - 2) - 3x) + 5) - (12 - 10x) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
14x - 21 = 7 • (2x - 3)
Equation at the end of step
4
:
7 • (2x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 7 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
Answer:
Step-by-step explanation:
<u>Prime factors of 2100 are:</u>
<u>The single-digit divisors are:</u>
- 1, 2, 3, 2*2= 4, 5, 2*3= 6, 7
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<u>Another solution is you divide 2100 by all numbers 1 through 9 and list those divisible:</u>
- 2100/1 = 2100, yes
- 2100/2 = 1050, yes
- 2100/3 = 700, yes
- 2100/4 = 525, yes
- 2100/5 = 420, yes
- 2100/6 = 350, yes
- 2100/7 = 300, yes
- 2100/8 = 262.5, no
- 2100/9 = 233.33, no
So all the numbers from 1 to 7
It will take her 45 minutes to run 5 miles,because 27/3=9 and 9•5=45
Answer:
Mean: 5, Median: 5, Mode: 5, Range: 4
Step-by-step explanation:
Mean: 5
5 + 4 + 6 + 3 + 7 + 5 = 30
30/6 = 5
Median: 5
3, 4, 5, 5, 6, 7,
Mode: 5
3, 4, 5, 5, 6, 7
2 fives
Range: 4
7 - 3 = 4
Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
